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Finding the Fourth Proportional to 105,878.53, 158,815.77 and 42,697.32

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Solution

The fourth proportional to 105,878.53, 158,815.77 and 42,697.32 is: 64,045.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,878.53 : 158,815.77 = 42,697.32 : x
  2. Step 2: Convert to fraction form
    105,878.53/158,815.77 = 42,697.32/x
  3. Step 3: Cross multiply
    105,878.53x = 158,815.77 × 42,697.32
  4. Step 4: Simplify right side
    105,878.53x = 6,781,007,752.74
  5. Step 5: Solve for x
    x = 6,781,007,752.74/105,878.53
  6. Step 6: Final answer
    x = 64,045.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.